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Find the shortest distance between the z...

Find the shortest distance between the z-axis and the line, `x+y+2z-3=0,2x+3y+4z-4=0.`

A

2

B

1

C

4

D

None of these

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The correct Answer is:
A
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
  1. The equation of the line passing though the point (1,1,-1) and perpend...

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  2. The equation of the plane through (2,3,4) and parallel to the plane x+...

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  3. perpendicular distance of the origin from the plane which makes interc...

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  4. The shortest distance between the lines (x-3)/(2) = (y +15)/(-7) = (z...

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  5. The equation of the plane containing the line vecr= veca + k vecb and ...

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  6. If the lines x=a(1)y + b(1), z=c(1)y +d(1) and x=a(2)y +b(2), z=c(2)y ...

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  7. Let two planes p (1): 2x -y + z =2 and p (2) : x + 2y - z=3 are given ...

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  8. Let two planes p (1): 2x -y + z =2 and p (2) : x + 2y - z=3 are given ...

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  9. Find the shortest distance between the lines (x-23)/(-6) = (y-19)/(-4)...

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  10. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

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  11. Let L1 and L2 be two lines such that L(2) : (x+1)/-3=(y-3)/2=(z+2)/1...

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  12. Let L1 and L2 be two lines such that L(2) : (x+1)/-3=(y-3)/2=(z+2)/1...

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  13. If 1,m ,n are the direction cosines of the line of shortest distance b...

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  14. Find the equation of line of intersection of the planes 3x-y+ z=1 and...

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  15. Find the distance of the point (1, -2, 3) from the plane x-y+z=5 measu...

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  16. Find the equation of the plane through the line x/l=y/m=z/n and perpe...

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  17. The ratio in which the plane vecr.( hati-2 hatj+3 hatk)=17 divides the...

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  18. The equation of the plane containing the line vecr=hati+hatj+lamda(2...

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  19. Equation of plane passing through (2,3,4) and parallel to the plane x+...

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  20. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

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